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Finding the Fourth Proportional to 49,764.86, 68,689.62 and 32,781.50

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Solution

The fourth proportional to 49,764.86, 68,689.62 and 32,781.50 is: 45,247.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,764.86 : 68,689.62 = 32,781.50 : x
  2. Step 2: Convert to fraction form
    49,764.86/68,689.62 = 32,781.50/x
  3. Step 3: Cross multiply
    49,764.86x = 68,689.62 × 32,781.50
  4. Step 4: Simplify right side
    49,764.86x = 2,251,748,778.03
  5. Step 5: Solve for x
    x = 2,251,748,778.03/49,764.86
  6. Step 6: Final answer
    x = 45,247.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.